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E=mc^2 paradox

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  1. Dec 5, 2014 #1
    Since C is constant, so all matter of equal rest mass have the same E ?!
    e.g. an equal rest mass of water and rest mass of Uranium have the same energy ?
     
  2. jcsd
  3. Dec 5, 2014 #2

    Orodruin

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    Yes, the mass energy related to 1 kg of water is the same as the mass energy in 1 kg of uranium.
     
  4. Dec 5, 2014 #3

    PeterDonis

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    Assuming the matter is at rest, yes. For matter in motion, ##E = mc^2## is not correct; the correct formula is ##E^2 = m^2 c^4 + p^2 c^2##, where ##p## is the momentum. So pieces of matter with the same ##m## but different ##p## (because they are moving at different speeds) will have different ##E##.
     
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